Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn
The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue. We prove that Ricci soliton on QR-hypersurfaces M with eigenvalue zero is steady and for eigenvalue nonzero is shrinking.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-12-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ausm-2016-0018 |